Find the LCM of 606, 214, 164, 493, 305 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 606, 214, 164, 493, 305. So, keep reading to learn more.
Given numbers are 606,214,164,493,305
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,214,164,493,305 is 799497321060.
Find LCM of 606,214,164,493,305 with Prime Factorization
2 | 606, 214, 164, 493, 305 |
303, 107, 82, 493, 305 |
Multiply the prime numbers at the bottom and the left side.
2 x 303 x 107 x 82 x 493 x 305 = 799497321060
Therefore, the lowest common multiple of 606,214,164,493,305 is 799497321060.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
606 x 214 x 164 x 493 x 305 = 3197989284240
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
606 : 1, 2, 3, 6, 101, 202, 303, 606
214 : 1, 2, 107, 214
164 : 1, 2, 4, 41, 82, 164
493 : 1, 17, 29, 493
305 : 1, 5, 61, 305
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,214,164,493,305, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
214:2x 107
164:2x 2x 41
493:17x 29
305:5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 3197989284240/(1x4)
LCM = 3197989284240/4
LCM = 799497321060
Thus, we can understand that the LCM of 606,214,164,493,305 is 799497321060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 606, 214, 164, 493, 305?
Answer: LCM of 606, 214, 164, 493, 305 is 799497321060.
2. How to calculate the LCM of 606, 214, 164, 493, 305?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 606, 214, 164, 493, 305.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.